Yesh, such a response.
Now, in case you hadn't noticed, people are more tolerant than you think. Adherents to polytheistic faiths pretty much so. With a few notable exceptions. You have gods for many roles, and you call upon the appropriate god for what you want done.
Think of clerics, even part time clerics, as generalists. It's Priests (Advanced Class) who devote themselves to one particular deity. (Yes, it would require modifying the rules too.)
I can see mortal/deital relationships becoming more a dialogue than in traditional settings. At the same time, with increased "contact" the mortals could assume a greater degree of familiarity than before. Whether or not such was justified.
People have been assuming greater deital activity. Not necessarily. With all those Clerics running around the gods are going to have lots of agents they can call upon. Demonologist working on summoning a fiend? Do a
Reverse Commune on the local Priest, who in turn contacts the local Clerics. The posse then hunts down the Demonologist and puts a serious hurt on him.
Where magic is concerned, expect a greatly expanded spell list. Divinations for finding resources and the best farmland, healings for specific conditions and injury types. enhancements both temporary and permanent for characteristics and abilities.
In the case of Wisdom, I can see the development of techniques and dweomers for increasing it. One might even see gods and Clerics developing "negative level" Clerical spells those with low Wisdom could call for. At the very least, something that would ease their fears, and the fears of those they're trying to help.
This set up would also change how people age. Additions to Wisdom would likely increase, with perhaps a +1 to Wisdom when reaching adulthood.
Crafts may not suffer as much as some think. Which would you prefer, an item that needs
Mending frequently, or one that needs
Mending rarely? With Clerical Divinations that help the crafter learn the quality of his raw materials, their strengths and weaknesses, crafting would likely become easier and of better quality. Now add alteration magics to enhance items and you have a world where all but the poorest can afford items that only the well to do can purchase in other realms.
BTW, this is not for any specific setting, just a topic for conversation. Anybody wants to work out such a setting, feel free.